Artículo
The space of scalarly integrable functions for a Fréchet-space-valued measure
Autor/es | Campo Acosta, Ricardo del
![]() ![]() ![]() ![]() ![]() ![]() Ricker, W. J. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2009 |
Fecha de depósito | 2022-07-26 |
Publicado en |
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Resumen | The space L1
w (ν) of all scalarly integrable functions with respect to a Fréchet-space-valued
vector measure ν is shown to be a complete Fréchet lattice with the σ-Fatou property
which contains the (traditional) space ... The space L1 w (ν) of all scalarly integrable functions with respect to a Fréchet-space-valued vector measure ν is shown to be a complete Fréchet lattice with the σ-Fatou property which contains the (traditional) space L1(ν), of all ν-integrable functions. Indeed, L1(ν) is the σ-order continuous part of L1 w (ν). Every Fréchet lattice with the σ-Fatou property and containing a weak unit in its σ-order continuous part is Fréchet lattice isomorphic to a space of the kind L1 w (ν). |
Cita | Campo Acosta, R.d. y Ricker, W.J. (2009). The space of scalarly integrable functions for a Fréchet-space-valued measure. Journal of Mathematical Analysis and Applications, 354 (2), 641-647. |
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